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Finding the Fourth Proportional to 462,145.20, 693,217.80 and 129,721.20

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Solution

The fourth proportional to 462,145.20, 693,217.80 and 129,721.20 is: 194,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,145.20 : 693,217.80 = 129,721.20 : x
  2. Step 2: Convert to fraction form
    462,145.20/693,217.80 = 129,721.20/x
  3. Step 3: Cross multiply
    462,145.20x = 693,217.80 × 129,721.20
  4. Step 4: Simplify right side
    462,145.20x = 89,925,044,877.36
  5. Step 5: Solve for x
    x = 89,925,044,877.36/462,145.20
  6. Step 6: Final answer
    x = 194,581.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.